122120011098 has 72 divisors (see below), whose sum is σ = 274946518080. Its totient is φ = 40678462440.

The previous prime is 122120011093. The next prime is 122120011099. The reversal of 122120011098 is 890110021221.

It is a super-2 number, since 2×122120011098² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122120011093) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28590703 + ... + 28594973.

It is an arithmetic number, because the mean of its divisors is an integer number (3818701640).

Almost surely, 2^122120011098 is an apocalyptic number.

122120011098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120011098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137473259040).

122120011098 is an abundant number, since it is smaller than the sum of its proper divisors (152826506982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122120011098 is an frugal number, since it uses more digits than its factorization.

122120011098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 122120011098 in words is "one hundred twenty-two billion, one hundred twenty million, eleven thousand, ninety-eight".